On a class of \(L^{1}\)-stable nonlinear cell-average multiresolution schemes
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Publication:970403
DOI10.1016/j.cam.2009.06.003zbMath1189.65318OpenAlexW2032976967MaRDI QIDQ970403
Publication date: 17 May 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.06.003
waveletsnumerical examplescell-average multiresolutionnonlinear subdivision scheme\(L^{1}\)-stability
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60)
Related Items (8)
Cell-average multiresolution based on local polynomial regression. application to image processing ⋮ On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method ⋮ On a Power WENO Scheme with Improved Accuracy Near Discontinuities ⋮ A nonlinear Chaikin-based binary subdivision scheme ⋮ On a class of three points cell-average multiresolution schemes ⋮ New WENO smoothness indicators computationally efficient in the presence of corner discontinuities ⋮ On a class of splines free of Gibbs phenomenon ⋮ On the use of generalized harmonic means in image processing using multiresolution algorithms
Cites Work
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- Nonlinear Harten's multiresolution on the quincunx pyramid
- Symmetric iterative interpolation processes
- Convexity preserving interpolatory subdivision schemes
- Quasilinear subdivision schemes with applications to ENO interpolation.
- Weighted ENO interpolation and applications.
- Smoothness of nonlinear median-interpolation subdivision
- Nonlinear multiscale decompositions: The approach of A. Harten
- Tensor product multiresolution analysis with error control for compact image representation
- Convexity preservation of the four-point interpolatory subdivision scheme
- On the stability of the PPH nonlinear multiresolution
- Discrete multi-resolution analysis and generalized wavelets
- Denoising using nonlinear multiscale representations
- Normal multiresolution approximation of curves
- Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms
- A fully adaptive multiresolution scheme for image processing
- Analysis of a new nonlinear subdivision scheme. Applications in image processing
- Subdivision schemes in geometric modelling
- Denoising using linear and nonlinear multiresolutions
- Biorthogonal bases of compactly supported wavelets
- Fast Multiresolution Algorithms for Matrix-Vector Multiplication
- Nonlinear Pyramid Transforms Based on Median-Interpolation
- Nonstationary Subdivision Schemes and Multiresolution Analysis
- De-noising by soft-thresholding
- Multiresolution Representation of Data: A General Framework
- Interpolation and Approximation of Piecewise Smooth Functions
- Tree approximation and optimal encoding
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